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2 years ago

The 7th grade has 195 students. There are 25 more girls than boys in the grade. How many boys are there in 7th grade

Mathematics

1 answer:

Anon25 [30]2 years ago

5 0

110 girls and 85 boys.

Subtract 1 from 195. Then divide by 2. 194/2 = 97. Then add 13 97+13=110. There are 110 girls.

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Is the relationship linear, exponential, or neither?

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Linear because x moves up by 3 and y moves up by 7

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2 years ago

M,H, and G have written more than a combined total of 22 articles. H has written 1/4 as many as M. G has written 3/2 as M. Write

Natalka [10]

Missing part of the question:

Write an inequality to determine the number of articles, M could have written for the school newspaper.

Answer:

The inequality: $11M > 88$

The solution: $M > 8$

Step-by-step explanation:

Given

From the question, we have the following parameters:

$M + H + G > 22$

$H = \frac{1}{4}M$

$G = \frac{3}{2}M$

Required

Determine the inequality to solve for M

Substitute the values for H and G in the inequality:

$M + H + G > 22$

$M + \frac{1}{4}M + \frac{3}{2}M > 22$

Multiply through by 4

$4(M + \frac{1}{4}M + \frac{3}{2}M) > 22*4$

$4M + M + 6M > 88$

$11M > 88$

Divide both sides by 11

$M > 8$

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2 years ago

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Breyers is a major producer of ice cream and would like to test if the average American consumes more than 17 ounces of ice crea

asambeis [7]

Answer:

The conclusion for this hypothesis test would be that the average American consumes less than or equal to 17 ounces of ice cream per month.

Step-by-step explanation:

We are given that Breyers is a major producer of ice cream and would like to test if the average American consumes more than 17 ounces of ice cream per month.

A random sample of 25 Americans was found to consume an average of 19 ounces of ice cream last month. The standard deviation for this sample was 5 ounces.

Let $\mu$ = average ounces of ice cream consumed by American per month

So, Null Hypothesis, $H_0$ : $\mu \leq$ 17 ounces {means that the average American consumes less than or equal to 17 ounces of ice cream per month}

Alternate Hypothesis, $H_A$ : $\mu$ > 17 ounces {means that the average American consumes more than 17 ounces of ice cream per month}

The test statistics that will be used here is One-sample t test statistics as we don't know about population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample average = 19 ounces

s = sample standard deviation = 5 ounces

n = sample of Americans = 25

So, test statistics = $\frac{19-17}{\frac{5}{\sqrt{25} } }$ ~ $t_2_4$

= 2

The value of the test statistics is 2.

Now at 0.025 significance level, the t table gives critical value of 2.06 at 24 degree of freedom for right-tailed test. Since our test statistics is less than the critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the the average American consumes less than or equal to 17 ounces of ice cream per month.

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3 years ago